122027904 has 256 divisors, whose sum is σ = 399513600. Its totient is φ = 36495360.

The previous prime is 122027891. The next prime is 122027923. The reversal of 122027904 is 409720221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821279 + ... + 1821345.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 2^122027904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122027904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199756800).

122027904 is an abundant number, since it is smaller than the sum of its proper divisors (277485696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122027904 is a wasteful number, since it uses less digits than its factorization.

122027904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 122027904 is about 11046.6240996967. The cubic root of 122027904 is about 496.0053762858.

The spelling of 122027904 in words is "one hundred twenty-two million, twenty-seven thousand, nine hundred four".